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Varadarajan, Veeravalli S. - Department of Mathematics, University of California at Los Angeles
Natural and Artificial in the Language of the Malayalam Text Yuktibhas.a
8. The Lie algebra and the exponential map for general Lie groups 8.1. The Lie algebra. We shall show how one can associate to any Lie
Symmetry and supersymmetry V. S. Varadarajan
Has God made the quantum world p-adic? V. S. Varadarajan
Matrix Airy functions for compact Lie groups V. S. Varadarajan
Indian Mathemtics V. S. Varadarajan
The Quantum Dice V. S. Varadarajan
Mathematics 106, Winter 2011 Instructor: V. S. Varadarajan
Archimedes of Syracuse Archimedes Thoughtful by Fetti (1620)
George Mackey and his work on representation theory and foundations of physics
MULTIPLIERS FOR THE SYMMETRY GROUPS OF P-ADIC SPACETIME
Some remarks on arithmetic physics * V. S. Varadarajan
VECTOR BUNDLES AND CONNECTIONS IN PHYSICS AND MATHEMATICS: SOME HISTORICAL REMARKS
1. INTRODUCTION 1.1. Introductory remarks on supersymmetry.
3. SUPER LINEAR ALGEBRA 3.1. The category of super vector spaces.
Historical review of Lie Theory 1. The theory of Lie groups and their representations is a vast subject (Bourbaki [Bou]
4. The concept of a Lie group 4.1. The category of manifolds and the definition of Lie groups.
5. Matrix exponentials and Von Neumann's theorem 5.1. The matrix exponential. For an n n matrix X we define
6. Matrix Lie groups 6.1. Definition and the basic theorem. A topological group is
9. The Lie groupLie algebra correspondence 9.1. The functor Lie. The fundamental theorems of Lie concern the
10. The subgroupsubalgebra correspondence. Homogeneous spaces. 10.1. The concept of a Lie subgroup of a Lie group. We have
12. Hilbert's fifth problem for compact groups: Von Neumann's theorem 12.1. The Hilbert problem. In his address entitled Mathematical
11. Representations of compact Lie groups 11.1. Integration on compact groups. In the simplest examples like
Euler at 300 V. S. Varadarajan
Unitary representations of super Lie groups V. S. Varadarajan
Mathematics 106, Winter 2011 Instructor: V. S. Varadarajan
3. The concept of a manifold 3.1. Concepts of space and ringed spaces. For over two thousand
Complex or p-adic wave functions? This has been an issue from the beginning. Mathematically
Airy Functions for Compact Lie Groups. Rahul N. Fernandez and V. S. Varadarajan
Some remarks on a problem of Accardi G. CASSINELLI and V. S. VARADARAJAN
Contemporary Mathematics George Mackey and His Work on Representation Theory
2. An informal look at Lie groups 2.1. The review is mainly about 19th
7. Baker-Campbell-Hausdorff formula 7.1. Formulation. Let G GL(n, R) be a matrix Lie group and let
5.1. Prologue. 5.2. Clifford algebras and their representations.
1. CIRCULAR FUNCTIONS 1. The cotangent as an infinite series. As a prelude to the study
Weyl systems, Heisenberg groups and Arithmetic physics * V. S. Varadarajan
Unitary representations of super Lie groups V. S. Varadarajan